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Example result
Study guide: solving linear equations, for students aged 13–14
The one rule
An equation is a balance. Whatever you do to one side, you do to the other, and the balance stays level. The goal is to get x alone on one side.
Worked example 3: the unknown on both sides
Solve 5x − 4 = 2x + 11.
- Move the x terms to one side: take 2x from both sides. 5x − 2x − 4 = 11, so 3x − 4 = 11.
- Move the numbers to the other side: add 4 to both sides. 3x = 15.
- Divide both sides by 3. x = 5.
- Check: 5 × 5 − 4 = 21 and 2 × 5 + 11 = 21. Both sides match.
Common mistake
In 3(x + 2) = 18, many students write 3x + 2 = 18. The 3 multiplies everything in the brackets: 3x + 6 = 18, so x = 4.
Exercises 7–10
- 4x + 3 = x + 18
- 2(x − 5) = 14
- 7 − x = 3x − 9
- 3(2x + 1) = 4x + 15
Answers: 7. x = 5 · 8. x = 12 · 9. x = 4 · 10. x = 6
Files: PDF and Word. The guide is for learning: we do not do homework or tests to be handed in.
Client: a parent whose daughter gets lost when an equation has brackets or the unknown on both sides. Task: a guide at middle school level that starts from the basics and builds up to those two cases. Standard package: up to 8 pages, 6 worked examples, 20 exercises with answers and a summary sheet. Excerpt below.
The client and all details are made up.
About this service
Statistics is as much about choosing the right method and reading the result as about the formula. This guide takes one topic, such as averages and spread, reading charts, the normal distribution, sampling, confidence intervals, hypothesis tests and p-values, correlation or a regression line, and explains what it measures, when to use it and how to say what the result means in plain words. Worked examples use small made-up data sets calculated step by step, and exercises with answers follow. Charts are described or shown as tables. Tell us the course, the calculator or software used and what the learner finds hard. The guide is for learning: we do not analyse data for coursework, theses or tests to be handed in, and the exercises are new ones made for practice. Check methods and notation against your course.
What is included
- What you getA PDF and Word file on your statistics topic: what the method measures and when to use it, worked examples on small made-up data, how to read the result, common mistakes and exercises with answers. From Standard, a one-page summary sheet with the formulas and when to use each; in Premium, a 20-question self-check test and a separate answer key with short explanations.
- When to use whatWhich measure or test fits which question
- Small data setsMade-up data calculated by hand, step by step
- Reading resultsWhat a number or a p-value does and doesn't say
- Common mistakesMean vs median, correlation vs cause, wrong test conclusions
- At your levelSchool statistics, an intro college course or work skills
How it works
- 1TopicYou name the topic, the course and the tools used
- 2WritingWe write the explanation, worked examples and exercises
- 3DeliveryYou get the guide in PDF and Word on the order page
- 4StudyYou practise with it and ask for changes within your package
What we need from you
The exact statistics topic, the course and level, the textbook if there is one, the notation used, whether the learner works by hand, with a calculator or in Excel, what they already know and find hard, the language, and how the guide will be used. You may attach a syllabus, a list of topics or a page of class notes as Word or PDF files, up to 3. Please do not send graded homework, tests or exam papers to be solved.
We will ask you:
- Which statistics topic?
- For what level?
- What does the learner already know, and what is hard?
- Which tools does the learner use?
- Language and how the guide will be used
Compare packages
| Packages | BasicUp to 4 pages$9 | StandardUp to 8 pages$17 | PremiumUp to 15 pages with a test$35 |
|---|---|---|---|
| Deadline | 1 day | 2 days | 3 days |
| Revisions | 1 | 2 | 3 |
| Pages | up to 4 | up to 8 | up to 15 |
| Worked examples | 3 | 6 | 10 |
| Exercises with answers | 10 | 20 | 35 |
| Summary sheet | No | Yes | Yes |
| Test and answer key | No | No | Yes, 20 questions |
| Subject | Statistics | Statistics | Statistics |
| Order Basic | Order Standard | Order Premium |
Payment protection
You pay when you order, but the money is released only for accepted work.
- Fixed priceThe package price does not change after you pay.
- The money is reservedWhen you pay, the amount is only reserved. It is released to the service once you accept the work.
- Checked before deliveryEvery result goes through a quality check before it reaches you, and you see it on the order page before accepting it.
- Free revisionsAsk for changes within your brief as many times as the package allows.
- Acceptance after 3 daysIf within 3 days of delivery you neither accept the work nor ask for changes, it is accepted automatically. If you write in the order chat after delivery, the order waits; once we answer, we may start the 3 days again and will say so in the chat.
- Redo or a full refundIf the result does not match your brief and the revisions did not fix it, or the work takes more than twice its deadline, write in the order chat: we will redo the work or refund the payment in full.
Questions and answers
Can you analyse my data for a project or thesis?
No. The guide teaches methods on made-up data; we do not analyse data or write results for coursework, theses or tests to be handed in.
Will it show Excel or a calculator?
If you name the tool, we add short notes on which function to use in it, alongside the calculation by hand.
Can it explain p-values without heavy maths?
Yes. Choose a beginner level and we explain the idea in everyday words and keep formulas to what is needed.
Can one guide cover the whole course?
One order covers one topic, for example confidence intervals. For a course, order guides topic by topic.
Will it match my course?
We follow the level, curriculum and textbook you name, but programmes, notation and methods differ, so the learner or a teacher should check the guide against the course.
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